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LateStarter said..
Science is awesome.
So is AKU Shaper and Shape 3DX

Have a play around on these dowels. You can download a free / light version of both - although AKUShaper will only last one month before they want some money. Take one of the basic templates / board outlines (that is similar to the one you are thinking about) that they have and put in the length, width and thickness of this board. There are a few video tutorials to watch to get you started but they are both pretty straight forward programs to use. AKU Shaper "up and comer" is probably the easiest of the two. But 3D gives you more scope. Then play around by adjusting the thickness by 1/4 to 1/2 an inch whilst keeping everything else the same, then play with widths. Finally play with the length. This will give you a really good idea of just what part of the board can give you a nice rise or drop in volume. Then as Tux talks about start to play around with the tail shapes and then the rails - boxy or knifey. You will see how quickly things change. Some things will surprise you I am sure but very quickly (after an hour of playing around) you will quickly develop a few little rules that you can use going forward. Rocker as some have mentioned here plays a massive part was well in the performance of the board for paddling but after playing around with these other 5 elements you will quickly develop a feel for the range of change in volume given a change in one or several of these characteristics. Then start playing around with your other boards to see how things would change if they were a touch wider, shorter or thicker - and you can then start to imagine how it would actually impact you when paddling. Like would a 10% drop in volume really impact me that much? What does a 10% drop in volume look like on my present quiver? Could I paddle my board if it had 10% less volume ? Would I really notice the difference if it was a 6'2" instead of a 6'4"? Or if it was 2 1/2 or 2 5/8 or 19.5 or 20? What would happen if my board had less boxy rails? Then play around with other board shapes e.g guns - which are longer and more slender and see if you get the same results. You might end up very surprised. If you get really excited then you can start playing around with concaves, vee etc but for now keep things simple as they can take a while to master with the software

Now be warned though. Playing with this software can be very very addictive and you may find yourself designing your own boards in no time. Then you can just get them cut out (you just email the file off to a place with a CNC machine) and hand finish them or get someone else to do it for you. Then you will want to learn to shape from scratch and this is where the real fun begins. Be warned

And at worst you will develop a better understanding of how these elements combine to influence volume.